|Click on my name above in my response and read my "how-to" guide titled, "◦Add a second Router to your LAN" You'll want to use the scenario where you connect your 8 port router to the Linksys "LAN port to LAN port".|
Once setup and the lab computers are working properly, just setup the network printer on them as you would for any other PC in the LAN.
To allow remote into your PC's you're likely going to have to setup a port forward to one of the PC's in that lab. You might then be able to open RDC on that PC once you're connected and then remote in to the others from it (I wouldn't know for sure, I've never tried that). But you can't setup a different port forward for each PC since there's no way (that I know of, I could be wrong) to setup multiple port forwards on the 8 port router, all for the same port number, but targeting a different IP address.
It matters not how straight the gate,
How charged with punishments the scroll,
I am the master of my fate;
I am the captain of my soul.